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Finding the Fourth Proportional to 294,724.93, 406,720.40 and 160,588.93

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Solution

The fourth proportional to 294,724.93, 406,720.40 and 160,588.93 is: 221,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,724.93 : 406,720.40 = 160,588.93 : x
  2. Step 2: Convert to fraction form
    294,724.93/406,720.40 = 160,588.93/x
  3. Step 3: Cross multiply
    294,724.93x = 406,720.40 × 160,588.93
  4. Step 4: Simplify right side
    294,724.93x = 65,314,793,845.17
  5. Step 5: Solve for x
    x = 65,314,793,845.17/294,724.93
  6. Step 6: Final answer
    x = 221,612.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.